Question 353328: what is the probability of being dealt a dead mans hand in 5 card stud poker?
only when getting two pairs of black eights and two pairs of black aces
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! what is the probability of being dealt a dead mans hand in 5 card stud poker?
only when getting two pairs of black eights and two pairs of black aces
----------------
That sounds like six cards to me.
Cheers,
Stan H.
Answer by solver91311(24713)  (Show Source):
You can put this solution on YOUR website!
Well, that really depends on what you specify as the kicker. Some stories hold that Wild Bill Hickock held the Queen of Clubs along with his pair of black 8s and pair of black Aces. Others say it was the 9 of Diamonds. Either way, if you specify a specific kicker card, then there is exactly one way to make the hand out of a total of 2,598,960 possible 5 card poker hands.
\ =\ 2598960)
Where ) is the number of combinations of  things taken  at a time and is calculated by !})
On the other hand, if you make no specification on the kicker, other than it cannot be one of the other Aces or 8s (because then you would have a Full House), there are 44 cards remaining in the deck that it could be (52 cards total minus the 4 Aces and 4 8s), so there are 44 possible ways to make the hand, again out of the 2,598,960 possible 5 card poker hands.
Of course all of the above is predicated on the notion that you cannot tell what has been dealt to anyone else -- which is a rather foolish notion if you are playing 5 stud. But you cannot calculate the odds at stud unless you know how many other players are in the game, what cards the others were dealt (after all, if someone else gets an 8 of clubs, your odds of a Dead Man's Hand just went to zero) and when or if any of the other players folds. All in all, asking this question about a game of stud poker was pretty foolish from the beginning. A much better way to ask this question given the paucity of given information would have been to calculate the odds of getting that specific hand in 5-card Draw before the Draw.
John
My calculator said it, I believe it, that settles it
|
|
|
